You need to change the clip distance not only on the camera, but on the viewport as well.

![enter image description here][1]

![enter image description here][2]

Also if you are going to deal with those magnitudes, you might want to change the scale, both on the Viewport and the scene->units. 

**NOTE:** watch out for Z-fighitng when rendering long distances. Read:

https://blender.stackexchange.com/questions/21647/weird-shading-effects-when-rendering-at-long-distance/21759#21759


  [1]: https://i.sstatic.net/ByrFJ.png
  [2]: https://i.sstatic.net/qUnk8.png